To calculate the worth of the $5.00 investment after 600 years at 3% interest, we can use the compound interest formula:
A = P * (1 + r/n)^(n*t)
Where:
A = the future value of the investment
P = the principal amount (initial investment)
r = annual interest rate (as a decimal)
n = number of times interest is compounded per year
t = number of years
In this case, the principal amount (P) is $5.00, the annual interest rate (r) is 3% (or 0.03 as a decimal), the investment has been held for 600 years (t), and the interest is compounded annually (n = 1).
Plugging these values into the formula, we get:
A = 5 * (1 + 0.03/1)^(1*600)
Calculating this expression:
A = 5 * (1.03)^600
A ≈ 5 * 37.282
A ≈ 186.41
Therefore, the $5.00 investment would be worth approximately $186.41 today after 600 years at a 3% interest rate.